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Finding the Third Proportional to 203,241 and 301,913

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Solution

The third proportional to 203,241 and 301,913 is: 448,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,241 : 301,913 = 301,913 : x
  2. Step 2: Convert to fraction form
    203,241/301,913 = 301,913/x
  3. Step 3: Cross multiply
    203,241x = 301,913 × 301,913
  4. Step 4: Simplify right side
    203,241x = 91,151,459,569
  5. Step 5: Solve for x
    x = 91,151,459,569/203,241
  6. Step 6: Final answer
    x = 448,489.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.